What is the Greatest Common Factor of 88830 and 88837?

Greatest common factor (GCF) of 88830 and 88837 is 7.

GCF(88830,88837) = 7

We will now calculate the prime factors of 88830 and 88837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88830 and 88837.

How to find the GCF of 88830 and 88837?

We will first find the prime factorization of 88830 and 88837. After we will calculate the factors of 88830 and 88837 and find the biggest common factor number .

Step-1: Prime Factorization of 88830

Prime factors of 88830 are 2, 3, 5, 7, 47. Prime factorization of 88830 in exponential form is:

88830 = 2¹ × 3³ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 88837

Prime factors of 88837 are 7, 37. Prime factorization of 88837 in exponential form is:

88837 = 7⁴ × 37¹

Step-3: Factors of 88830

List of positive integer factors of 88830 that divides 88830 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 47, 54, 63, 70, 90, 94, 105, 126, 135, 141, 189, 210, 235, 270, 282, 315, 329, 378, 423, 470, 630, 658, 705, 846, 945, 987, 1269, 1410, 1645, 1890, 1974, 2115, 2538, 2961, 3290, 4230, 4935, 5922, 6345, 8883, 9870, 12690, 14805, 17766, 29610, 44415

Step-4: Factors of 88837

List of positive integer factors of 88837 that divides 88830 without a remainder.

1, 7, 37, 49, 259, 343, 1813, 2401, 12691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88830 and 88837. The biggest common factor number is the GCF number.
So the greatest common factor 88830 and 88837 is 7.

Also check out the Least Common Multiple of 88830 and 88837